Parker would be classified as: insecure avoidant.
Explanation:
Insecure-avoidant is an attachment pattern that is identified in a strange situation. Kids usually expose this kind of behavior. They will be interested to mingle will others but they cannot establish close relationship with their caregiver.
Insecure avoidant is commonly seen in childhood stage when they miss parenting, face negligence or emotional abuse. This kind of kids shows only little attention to their caregiver.
In the above scenario, Parker faces strange situation. He was less attached with his caregiver. He neither longs for her nor misses her.